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Factoring a Polynomial

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factoring a Polynomial
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20 questions

Show all answers

1.

MATCH QUESTION

1 min • 1 pt

Match the following expressions with their factors.

x2 + 5x + 6

(x + 2)(x + 3)

x2 + 6x + 8

(x + 5)(x + 1)

x2 + 6x + 5

(x + 4)(x + 3)

x2 + 7x + 12

(x + 4)(x + 2)

Tags

CCSS.HSA.APR.A.1

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Factor: m2 + 8m + 15 = (a)  

(m + 2)(m +6)

(m + 1)(m + 7)

(m + 4)(m + 4)

(m + 3)(m + 5)

3.

DROPDOWN QUESTION

1 min • 1 pt

The expression n2 - 2n +1 can be factored as (a)  

(n - 1)(n - 1)

(n - 2)(n - 1)

(n - 3)(n + 1)

(n + 1)(n +1)

4.

MATCH QUESTION

1 min • 1 pt

Match the following expressions with their factored forms.

x2 + 8x - 20

(x + 10)(x - 2)

x2 - 10x + 16

(x + 12)(x - 2)

x2 - 10x + 24

(x - 2)(x - 8)

x2 + 10x - 24

(x - 4)(x - 6)

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0 by factoring.

−(x4−14x2+45)=0-\left(x^4-14x^2+45\right)=0  

−(x4−14x2−45)=0-\left(x^4-14x^2-45\right)=0

−(x2−9)(x2−5)=0-\left(x^2-9\right)\left(x^2-5\right)=0  

x=±3, ±5x=\pm3,\ \pm\sqrt[]{5}  

x=±3, ±5ix=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

6.

MATCH QUESTION

1 min • 1 pt

Match each polynomial to its factored form:

(x+4)(x+1)

x2+3x−4x^2+3x-4

(x-4)(x+1)

x2+5x+4x^2+5x+4

(x-4)(x-1)

x2−5x+4x^2-5x+4

(x+4)(x-1)

x2−3x−4x^2-3x-4

7.

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+3 . Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3) Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)   Step 3 - factor difference of squares: (x-3)​ (d)   Step 4 - Solve: ​ (e)  

16x216x^2  

−1-1  

(16x2−1)\left(16x^2-1\right)  

(4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

x =3, ±14x\ =3,\ \pm\frac{1}{4}  

x=±3, ±4x=\pm3,\ \pm4

(8x+1)(2x−1)\left(8x+1\right)\left(2x-1\right)  

(x+3)\left(x+3\right)  

+1+1  

Tags

CCSS.HSF-IF.C.7C

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